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Paper Citation Record · LEDGER

Learning Chaotic Dynamics through Second-Order Geometric Supervision

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2606.01596.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.01596 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T14:07:12.897179Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved21
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58a141e2-7096-4c2f-9426-b35b5730b51e · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 10c02364-137a-41cc-a2fc-6deb94ccc774 · outbound

This paper cites Kantz, T.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Kantz, T

Reference 2

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unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:42e8e53d644b2d089e3f8cee3bd24f966c74cc6dea126f96944fdba09728e895

Observation 7a663be4-5873-405d-9d1d-16e8d07dc051 · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 3

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unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:b1a618bb72d04da565dcf3bb645c2d9561baede30a6312a41346f891df1c5d20

Observation 0e47301b-6c2b-4af1-b5a6-70687297bba7 · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 4

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unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:410aa2e86d04444622c03ce6c13a08740da4b9dc57817efec6cb60ed71a678b6

Observation 92c572f7-ef7d-4d9c-98e3-0f98899d3bce · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 5

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unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:5c3b312bb334ceabe983ccec61708d9b723b006e2e13dce1a8ab5a41762af208

Observation f7787b3a-8188-4d5d-8efb-67c1ae01cd46 · outbound

This paper cites Raissi, P.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Raissi, P

Reference 6

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unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:04a78897e9af84cb900f5d23f3b14a8dc62fb458406b5eeda7e2c533239cff39

Observation 4960c45a-fef3-4200-b04b-614cd76898e6 · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:f71ee10af39a835f1ae4060cc815ad79b2f5ffbd5db3d3e632cba828fdf269c4

Observation 9b2c27d3-d178-444d-90c7-79a297a4ef38 · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:b68100829b834c0e985e150f468440b9fdd21c679517679a872f4a253c9a78a7

Observation 396106cb-453e-4817-a598-1d4db4e50063 · outbound

This paper cites Jacobian-Enforced Neural Networks (JENN) for Improved Data Assimilation Consistency in Dynamical Models.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Jacobian-Enforced Neural Networks (JENN) for Improved Data Assimilation Consistency in Dynamical Models

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-01T23:36:23.661948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:91994cd55cb44e741c642e319f534e999f0ff9b91fd37217cfd0e62e34d5cc24

Observation 7531ecf7-17a2-4bba-93de-bffa6b35bbc5 · outbound

This paper cites Mohammadian, K.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Mohammadian, K

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:396b9d71c30fedeb1d7287130f11b9309665f38de7867c38582750f29862f30d

Observation 91f7f3cd-5514-4f8b-9cf0-dc57bab9a080 · outbound

This paper cites Paying More Attention to Attention: Improving the Performance of Convolutional Neural Networks via Attention Transfer.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Paying More Attention to Attention: Improving the Performance of Convolutional Neural Networks via Attention Transfer

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-01T23:36:23.654460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:17e5170ec6237d280f78e47cce2b618459652f8ff88aa6edcf0710db5e150bf3

Observation 0c7a4449-7f1b-499a-a949-111de63164b1 · outbound

This paper cites Srinivas, F.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Srinivas, F

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:8e1ceec0772f7e04c17ade959294353166b3747a83e36c57ae2dcc96b0917fb3

Observation ac173a70-3caf-4735-b7f4-4fab580eab14 · outbound

This paper cites Van Nguyen, J.-U.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Van Nguyen, J.-U

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:ad9a0836ae9fbb0b61232b446bc609304fca6ebe47306b87e471c4dfc876c709

Observation f5314e58-b5f7-494b-84ce-d66f439c077a · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:21be6b4c2ea5dcab9f2a530e1edcd3628742822fc39171f6fe1c7a1941933054

Observation 3e886e0c-95b6-4a60-915b-65afd84104da · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:32e650a53f6056556bdbcc732b0d85aac5e6b96adc631c322da641a407591010

Observation 5c0603a6-2143-428c-9f82-0a375fb25ea2 · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:d7ac890f352b346964ffb0c9428a7776296973d5b1e64d12c4d2377c52c8a389

Observation b72d0a8a-baf5-46c0-ae21-aaeed5312a4c · outbound

This paper cites Eckmann, D.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Eckmann, D

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:f3e960a19d727dd796b6c591d955483aa8d0e2d591d4b38745cd8f18d30efe0a

Observation 09d50bf5-a46f-4e7e-9763-160015068cba · outbound

This paper cites Rüschendorf, The Wasserstein distance and approximation theorems, Probability Theory and Related Fields 70 (1985) 117–129.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Rüschendorf, The Wasserstein distance and approximation theorems, Probability Theory and Related Fields 70 (1985) 117–129

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:537f8d0205f9ec28b239e61513e2b56eba7afb80d659cdbeb4b3cd11543fa1e1

Observation 8069d87e-e0e4-4d12-a622-e968144cb130 · outbound

This paper cites Villani, et al., Optimal transport: old and new, volume 338, Springer, 2009.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Villani, et al., Optimal transport: old and new, volume 338, Springer, 2009

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:71267aca646fd3a89c9efd97c36c252bf2403efa93e46ab320c7c66e88b0f5b1

Observation 5d11e122-c9f3-4e75-abb5-38f15a839183 · outbound

This paper cites Carlu, F.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Carlu, F

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:aa4c75ed6c10eb913ce59e6dc9c62d12be15bb1b5f18b1b326d59173a63682f9

Observation 6257642f-d165-464a-9223-3e9222291bec · outbound

This paper cites an unresolved cited work.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:f954058d8c25d0b08bcbeb9a323e940b5c377a7c947e34e7abd9276d9dc3f7d5

Observation ca3993bd-aa01-4409-905d-c8ab6b9e3a2b · outbound

This paper cites Benettin, L.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Benettin, L

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:e29c2b4f8efa1f225e8ab6754e6565f55ac954dde94d38601d996164ed25de39

Observation ea221a0a-6f94-40e4-b71d-23dda1d6d940 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Universal Differential Equations for Scientific Machine Learning

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-07-01T23:36:23.658274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:cd6594f6a5d7a0063d68bf5df5c83c353943bc464b2cc4b739d9cb9d2dc38466

Observation cc5ed80f-8136-4023-92d8-0d52d5977f6e · outbound

This paper cites Tsitouras, Runge–Kutta pairs of order 5 (4) satisfying only the first column simplifying assumption, Computers & Mathematics with Appli- cations 62 (2011) 770–775.

Learning Chaotic Dynamics through Second-Order Geometric Supervision Tsitouras, Runge–Kutta pairs of order 5 (4) satisfying only the first column simplifying assumption, Computers & Mathematics with Appli- cations 62 (2011) 770–775

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-28T14:07:12.897179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:07:12.897179Z digest=sha256:9444e617962afb504432bcfcbb0176bf7bba0186edcf5cb32449c6ba1d1e30e2

Pith citing papers

No inbound Pith citation observations are available.